The midpoints of the sides of a triangle are located at (a, 0),(2 a, b) and (a, b). If one vertex is located at the origin, what are the coondinates of the other vertices? Explain your neasoning.

Answer:

1) 256, -128, 64, -32

2) 27, 9, 3, 1, 1/3

3) 5x², 5x⁴, 5x⁶, 5x⁸, 5x¹⁰,

Step-by-step explanation:

1. In this geometric series each term is obtained by multiplying the previous term by (-1/2) or dividing by (-2).

256 ÷ (-2) = - 128

-128 ÷ (-2) = 64

64 ÷ (-2) = (-32)

The geometric series is:

     256, -128, 64, -32...

We can find the common ratio by dividing the second term by first term.

2) 27, 9, ___, _________, 1/3

       [tex]\sf \boxed{\bf common \ ratio= \dfrac{second \ term}{first \ term}}[/tex]

                                 [tex]\sf = \dfrac{9}{27}\\\\ = \dfrac{1}{3}[/tex]

  [tex]\sf 9*\dfrac{1}{3}=3\\\\3*\dfrac{1}{3}=1[/tex]

The geometric series is:

  27, 9, 3, 1, 1/3....

3) 5x², _____, 5x⁶, 5x⁸, _____, ....

Here, we can take 3rd term and 4th term to find the common ratio.

  [tex]\sf common \ ratio = \dfrac{5x^8}{5x^6}\\\\[/tex]

                       [tex]\s = x^{8-6}\\\\=x^2[/tex]

5x² * x² = 5x⁴

8x⁸ * x² = 8x¹⁰

The geometric serious is:

5x², 5x⁴, 5x⁶, 5x⁸, 5x¹⁰, ...

[tex]\sf 1.) \ 256, -128, 64, -32,..\\ \\ 2.) \ 27, 9, 3, 1, 1/3,... \\ \\3.) \ 5x^2, 5x^4, 5x^6, 5x^8,5x^{10} , ...[/tex]

[tex]\sf Geometric \ formula: ar^{n-1}[/tex]

Find the common ratio:

Equation: [tex]256(-\frac{1}{2} )^{n-1}[/tex]

2nd term: [tex]256(-\frac{1}{2} )^{2-1}=-128[/tex]

3rd term: [tex]256(-\frac{1}{2} )^{3-1}=64[/tex]

Find common ratio:

Equation: [tex]27(\frac{1}{3} )^{n-1}[/tex]

3rd term: [tex]27(\frac{1}{3} )^{3-1}=3[/tex]

4th term: [tex]27(\frac{1}{3} )^{4-1}=1[/tex]

Find the common ratio:

Equation: [tex]5x^2 (x^2)^{n-1}[/tex]

2nd term: [tex]5x^2 (x^2)^{2-1} = 5x^2 (x^2) = 5x^{4}[/tex]

5ht term: [tex]5x^2 (x^2)^{5-1} = 5x^2 (x^8) = 5x^{10}[/tex]

Answer:

[11000, 11600]

Step-by-step explanation:

Give me Brainliest if that helped! :)

The function rule for h(x) = -3x -3.

In mathematics, functions can be manipulated algebraically to obtain graphs of functions through certain transformations. Such transformations are reflections of the x-axis or the y-axis. To flip a function f(x) on the x-axis, multiply the whole function by a negative value to get -f(x), and to flip a function f(x) on the y axis, f(-x ), specify the x variable with a negative value. If it is reflected around the y-axis, it will stay the same, which gives h(x) = 3x + 3. Flipping around the x-axis (assuming y = 0) has the y-axis as the axis of symmetry, but it is concave down.

The function rule around the x-axis gives a complementary sign of the value of the function, so

h(x) =-3x-3 will be reflection of f(x) =3x+3

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A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 79 % of 623 is 492.17.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 79 % of 623

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

79 % of 623 = 79/100 of 82

79/100 × 623 = 492.17

Therefore, the percent of the given number 79 % of 623 is 492.17.

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A 94.6 L gasoline with a density of 0.680 g/cm^3 has a mass of 64328 g.

Density is defined as the ratio between the mass of a substance and the volume it occupies. Denoted by ρ, density is mass per unit volume and the formula is given below:

ρ =  mass / volume

Converting first the volume from L to cm^3.

1 L = 1000 cm^3

94.6 L = 94.6(1000 cm^3)

94.6 L = 94,600 cm^3

Given the density of the gasoline and its volume, solve for the mass of the gasoline using the formula for the density.

ρ =  mass / volume

0.680 g/cm^3 = mass / 94,600 cm^3

mass = 0.680 g/cm^3 (94,600 cm^3)

mass = 64328 g

mass = 64.328 kg

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Answer:8(7w+

Step-by-step explanation:

Answer:

after 8 years the value of the car would be $8,173.42

Step-by-step explanation:

the given P=15250

r=7.5/100=0.075

t=x

y = 15250*(1 - 0.075)^x

after 8 years we would have

x = 8

y = 15250*(1 - 0.075)^8

y = $8,173.42

after 8 years the value of the car would be $8,173.42

Answer:

8173.42

Step-by-step explanation:

I just know it's correct

The statement which describes the effect of replacing the graph of f(x) with the graph of f(x) - 5 is : (b) the graph shifts 5 units down.

What is Transformation?

Transformation :- The transformations of functions define how to graph a function is moving and how its shape is being changed. There are basically three types of function transformations: translation, dilation, and reflection.

f(x) = f(x) + k

This is a translation transformation that shifts the original function f(x) either k units up or k units down. If k is more than 0 then k shifts up. If k is less than 0 then k shifts down.

Here, k = -5<0

Hence, the shift is 5 units down.

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Answer:

2 times as much

Step-by-step explanation:

1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes

3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins

200 is twice as much as 100

Answer:

7-5=2

2+4=6

2×6=12

you always work the Parenthesis 1st

Answer:

x=8

Step-by-step explanation:

starts with 0.5x+2=6, so move the constant to the right, 0.5x=6-2, then calculate the right side, 0.5x=4, then divide both sides, and x=8

Answer:

x = 8

Step-by-step explanation:

Get variable on left and constants on right

0.5x = 6 - 2

0.5x = 4

Divide both sides by 0.5

x = 8

From the situation described, we have that:

a. The absolute value equation is: |w - 35| = 8.

b. The solutions are w = 27 and w = 43, meaning that the minimum weight is of 27 pounds and the maximum weight is of 43 pounds.

A home improvement store sells bags of sand, which are labeled as weighing 35 pounds. The equipment used to package the sand produces bags with a weight that is within 8 pounds of the labeled weight.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

For this problem, the difference between the weight w and 35 pounds is of 8 pounds, hence the equation is:

|w - 35| = 8.

From the definition, the solutions are given as follows:

The solutions are w = 27 and w = 43, meaning that the minimum weight is of 27 pounds and the maximum weight is of 43 pounds.

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Answer:

(from smallest to largest)

1. 3.24 × 10^-5

2. 5.48 × 10 ^-2

3. 1.2 × 10¹

4. 4.68 × 10⁶

5. 8.34 × 10⁶

Step-by-step explanation:

We can put these in order through the exponents.

Hope this helps!

Step-by-step explanation:

MEAN:0.33

STANDARD DEVIATION:0.07

WEIGHTED:0.50

0.33×0.07=0.0231÷0.50=0.0462

According to the given function, we can throw it to the height of 6.6 m.  So, yes we can throw it high enough to reach the ledge.

The given equation is quadratic. A quadratic equation is defined as an equation of a single variable with the highest power of 2. In general, the quadratic equation can be expressed as h(x)= [tex]ax^2- bx + c[/tex], where a, b and c are arbitrary constants. The solution for a quadratic equation is given by:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

The maximum of a quadratic equation is given by:

= [tex]c-\frac{b^2}{4a}[/tex]

The length to be covered by throwing=6 meters

It is given that the height of the grappling hook you throw is a function h(t) = -4.9t² + 10t + 1.5

Here a =4.9, b = 10 and c = 1.5

The maximum of a quadratic equation is given by:

[tex]c-\frac{b^2}{4a}[/tex]

[tex]1.5-\frac{10^2}{4*(-4.9)}[/tex]

6.6

A throw can be made to reach the wall since the height of wall is less than the maximum value that is 6.6 m.

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Answer:

$3.48

Step-by-step explanation:

Divide the number of hamburgers by the total cost:

13.95 / 4 =

3.4875

$3.48

The answer is :

a) 27 m= 2700 cm.

b) 38 dam = 380 m.

c) 34 m = 0.34 hm.

Lets know about the given prefix first,

    m = Meter means one hundred centimeter so,

1 m = 100 cm

   cm =  Centimeter means one-hundredth of a meter so,

1 cm = 0.01 m

  mm = Millimeter means one-thousandth of a meter so,

1 mm = 0.001m

  hm = Hectometer means one hundred meters so,

1 hm = 100 m

  dam = Decameter means ten meters so,

1 dam = 10 m

So,  

a) 27 m = 2700 cm

b) 38 dam = 380 m

c) 34 m = 0.34 hm.

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Answer:

Step-by-step explanation:

brackets first

5 - (3-2) + 2

5 - (1) + 2

5 - 1 + 2

4 + 2

6

Answer:

5-(3-2)+2

5-1+2

4+2

6

Step-by-step explanation:

Follow PEMDAS

P ()

E: Exponent

M: Multiplication

D: Division

A: Addition

S: Subtraction

And you answer each equation going from Left to Right

The required sequences are The first pair is rotated and translated, the second pair is reflected and translated, and the third pair is reflected and translated.

Translation means the displacement of a figure or a shape from one place to another. In translation a figure can move upward, downward, vertical and horizontal.

Some of the Translation are,

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.

Thus, the required sequences are The first pair is rotated and translated, the second pair is reflected and translated, and the third pair is reflected and translated.

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The complete question image is attached.

Answer:

here ya go !

Step-by-step explanation:

Answer:

1 box of brownie mix= 2 eggs and 1/2 cups of oil

ans=

2 boxes of brownie mix= (2 eggs ×2)(1/2 cups of oil × 2)

=4 eggs and 1 cup of oil

Answer:

4 eggs and 1 cup of oil.

Step-by-step explanation:

2x2=4 1/2x2=1

Answer: sure ummm...

r

=

1

d

cs

Step-by-step explanation:

Answer: n+s=c

Step-by-step explanation:

n=c-s

+s   +s

n+s=c

add s to both sides to get c by itself, and you end up with n+s=c

Step-by-step explanation:

2 + 3 = 5

the sign of the sum is "-", because the temperature dropped (in both cases).

the total change in temperature is -5°.

the sum of 2 positive integers ... is always positive.

both numbers have a positive sign. the sum means "+", so we are adding 2 positive numbers.

nowhere in the operation are we going in the negative direction or bring a negative sign in.

so, where would a "-" sign come from ?

if I have something on the plus side, and I put something positive on top of it, the resulting pile will still be positive.

The number of windows which can be framed with three 10-foot long pieces of lumber given the dimensions of the windows is; two and a half.

It follows from the task content that the number of windows that can be made given the dimensions of the windows be determined.

On this note, it follows that since the windows are 3 feet high and 3 feet width, the perimeter of each window(square shaped) covered by lumber is;

P = 4s

P = 4 × 3

P = 12 feet.

Hence, each window requires 12 feet of lumber.

However, since the builder has only three 10-foot long pieces of lumber which is equivalent to; 3 × 10 = 30 feet worth.

The number of windows that can be made is;

= 30/12

= 2.5.

Ultimately, only 2 and a half windows can be framed from the three 10-foot long pieces of lumber.

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Based on the distance below sea level of the Japan Trench and the Peru-Chile Trench, the difference and the deeper trench is 1 km, and the Japan Trench is deeper.

The deeper trench is the one that is further down sea level. In other words, it is the one that is a larger distance below sea level.

The Japan Trench is 9 km below sea level while the Peru-Chile trench is 8 km below sea level. This means that the Japan Trench is deeper.

The difference is:

= 9 - 8

= 1 km

In conclusion, the Japan trench is deeper by 1 km.

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Applying the distance formula, the value of a is 2 or -2.

The distance formula is:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

d = XY = 10 units

X(a - 5, -2a) = (x1, y1)

Y(a + 1, 2a) = (x2, y2)

Plug in the values into the distance formula

10 = √[((a + 1) - (a - 5))² + (2a - (-2a))²]

10 = √[(a + 1 - a + 5)² + (2a + 2a)²]

10 = √(6² + (4a)²)

10 = √(36 + 16a²)

10² = 36 + 16a²

100 = 36 + 16a²

0 = -100 + 36 + 16a²

0 = 16a² - 64

16a² - 64 = 0

Factorize

16(a² - 4) = 0

16(a - 2)(a + 2) = 0

a = 2 or a = -2

Therefore, applying the distance formula, the value of a is 2 or -2.

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if d increases c will decrease AND  if c increases d will decrease.

If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios. For illustration, the ratio may be expressed as follows: 1: 3 (If there are 1 boy and 3 girls, then there are 3 girls for every 1 boy.)

since c and d are inversely proportional

a) if d increases c will decrease

because it is the property of the ratio and proportion

and same will be applied in b

b) if c increases d will decrease

that is obvious....

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